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Check whether 6^n can end with the digit 0 for any natural num

Question

Check whether $6^{n}$ can end with the digit $0$ for any natural number $n$ .

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Mila Discussed

Check whether

6^{n}

can end with the digit

0

for any natural number

n

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

If any digit has the last digit

10

that means it divisible by

10.

The factor of

10 = 2 \times 5,

So value of

6^{n}

should be divisible by

2

and

5.

Both

6^{n}

is divisible by

2

but not divisible by

5.

So, it can not end with

0.

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Question Text	Check whether $6^{n}$ can end with the digit $0$ for any natural number $n$ .
Answer Type	Text solution:1
Upvotes	150